150240400211556 has 18 divisors (see below), whose sum is σ = 379774344979302. Its totient is φ = 50080133403840.

The previous prime is 150240400211533. The next prime is 150240400211579. The reversal of 150240400211556 is 655112004042051.

150240400211556 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 40 + 40 + 0 + 21 + 1 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (150240400211533) and next prime (150240400211579).

It can be written as a sum of positive squares in only one way, i.e., 135808257542400 + 14432142669156 = 11653680^2 + 3798966^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×150240400211556² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4173344450321 = 150240400211556 / (1 + 5 + 0 + 2 + 4 + 0 + 4 + 0 + 0 + 2 + 1 + 1 + 5 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 150240400211556.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2086672225125 + ... + 2086672225196.

Almost surely, 2^{150240400211556} is an apocalyptic number.

It is an amenable number.

150240400211556 is an abundant number, since it is smaller than the sum of its proper divisors (229533944767746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150240400211556 is a wasteful number, since it uses less digits than its factorization.

150240400211556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173344450331 (or 4173344450326 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 150240400211556 in words is "one hundred fifty trillion, two hundred forty billion, four hundred million, two hundred eleven thousand, five hundred fifty-six".